Concept:Use the difference of two squares identity: a2−b2=(a−b)(a+b).Explanation:Factor out the common factor 3:27x2−48y2=3(9x2−16y2)Write each term inside as a perfect square:3(9x2−16y2)=3((3x)2−(4y)2)Apply the difference of two squares formula:3((3x)2−(4y)2)=3(3x−4y)(3x+4y)Answer:3(3x+4y)(3x−4y)Correct option: A.